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Finding the Fourth Proportional to 459,048.65, 688,683.67 and 159,485.63

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Solution

The fourth proportional to 459,048.65, 688,683.67 and 159,485.63 is: 239,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,048.65 : 688,683.67 = 159,485.63 : x
  2. Step 2: Convert to fraction form
    459,048.65/688,683.67 = 159,485.63/x
  3. Step 3: Cross multiply
    459,048.65x = 688,683.67 × 159,485.63
  4. Step 4: Simplify right side
    459,048.65x = 109,835,145,138.53
  5. Step 5: Solve for x
    x = 109,835,145,138.53/459,048.65
  6. Step 6: Final answer
    x = 239,266.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.